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Helmholtz equation/en

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Proceedings Papers

Paper presented at the 2009 SEG Annual Meeting, October 25–30, 2009
Paper Number: SEG-2009-2531
... SUMMARY We present a joint seismic inverse scattering and finite-frequency (reflection) tomography program, formulated as a coupled set of optimization problems, in terms of inhomogeneous Helmholtz equations. A new structured approximate direct solver for the corresponding linear system...
Proceedings Papers

Paper presented at the 2011 SEG Annual Meeting, September 18–23, 2011
Paper Number: SEG-2011-2839
... helmholtz equation bicgstab solver siam journal fd scheme pml boundary condition simulation matrix erlangga solver A multigrid preconditioner for 3D acoustic fourth-order finite-difference frequency-domain modeling using the PML boundary condition G. Pan , A. Abubakar, F. Bu, and T. M. Habashy...
Proceedings Papers

Paper presented at the 2016 SEG International Exposition and Annual Meeting, October 16–21, 2016
Paper Number: SEG-2016-13869051
... and demonstrate its effectiveness on a large scale 3D problem. Presentation Date: Tuesday, October 18, 2016 Start Time: 11:10:00 AM Location: 162/164 Presentation Type: ORAL helmholtz equation seg seg international exposition operator matlab algorithm computation reservoir characterization fwi...
Proceedings Papers

Paper presented at the The Third International Offshore and Polar Engineering Conference, June 6–11, 1993
Paper Number: ISOPE-I-93-025
... to the geometric changes such as cham- ber length and barrier depth. Key Words Oscillating Water Column, Wave Energy, Nonuniform Cham- ber Pressure Eigen-Function Expansion Method, Compress- ibility, Helmholtz Equation 1. Introduction Herein a two-dimensional analysis, based on the linear potential flow...
Proceedings Papers

Paper presented at the 2017 SEG International Exposition and Annual Meeting, September 24–29, 2017
Paper Number: SEG-2017-17443086
... a direct method of solving a system of linear equations that arises as a finite-difference approximation of a boundary value problem for the Helmholtz equation. Due to the direct approach, the method has an evident advantage compared to the iterative methods increase of number of right-hand sides costs...
Proceedings Papers

Paper presented at the The Ninth International Offshore and Polar Engineering Conference, May 30–June 4, 1999
Paper Number: ISOPE-I-99-267
...., Liang, M. T. and Yang, S. S. (1995). "Dual Boundary Integral Equations for Exterior Problems," Engng Anal Bound Elern, Vo1.16, pp.33-340. Harari, I. P., Barbone, E., Slavutin, M. and Shalom, R. (1998). "Boundary Infinite Elements for the Helmholtz Equation in Exterior Domains," Int d Nurner Meth En- gag...
Proceedings Papers

Paper presented at the 2017 SEG International Exposition and Annual Meeting, September 24–29, 2017
Paper Number: SEG-2017-17741512
... (the superscript n has been dropped to alle- viate notation). Since En must verify the Maxwell s equations, a nonlinear problem for F1, F2 and F3 results by substituting (4) into the multidimensional model (1). Several linearization techniques have been developed to solve the nonlinear prob- lem, see some examples...
Proceedings Papers

Paper presented at the 2002 SEG Annual Meeting, October 6–11, 2002
Paper Number: SEG-2002-0641
... in the time domain and an implicit method, backward Euler, is used for time-stepping. At each time step the electromagnetic equations are solved in a stable manner by using a Helmholtz decomposition of the electric field to convert to potentials, and then discretizing in space by using a finite volume...
Proceedings Papers

Paper presented at the 2005 SEG Annual Meeting, November 6–11, 2005
Paper Number: SEG-2005-1065
... conductivity electric field seg houston 2005 snieder heterogeneity length scale helmholtz equation background field johnson equation nse 2 point scatterer wavefield contribution borehole radar problem complex media scatterer frequency ABSTRACT In this paper we present...
Proceedings Papers

Paper presented at the The Eighth International Offshore and Polar Engineering Conference, May 24–29, 1998
Paper Number: ISOPE-I-98-148
... ABSTRACT In this paper, a comparative study of the relationship between droplet entrainment and Kelvin-Helmholtz (K-H) instability is presented. In a channel experiment oil droplets were formed on the oil-water interface and entrained by the water current causing droplet entrainment when...
Proceedings Papers

Paper presented at the The Third International Offshore and Polar Engineering Conference, June 6–11, 1993
Paper Number: ISOPE-I-93-180
... polycrystalline ice inequality damage mechanics strength deformation constitutive relation strain rate sea ice mechanics transient flow helmholtz free energy constitutive equation mechanism Proceedings of the Third (1993) InterlUltional Offshore and Polar Engineering Conference Singapore, 6·11 June...
Proceedings Papers

Paper presented at the 2011 SEG Annual Meeting, September 18–23, 2011
Paper Number: SEG-2011-3315
... for discrete Helmholtz equations: SIAM Journal on Scientific Computing, 23, no. 4, 1291 1315, doi:10.1137/S1064827501357190. Erlangga, Y. A., C. W. Oosterlee, and C. Vuik, 2006, A novel multigrid based preconditioner for heterogeneous Helmholtz problems: SIAM Journal on Scientific Computing, 27, no. 4, 1471...
Proceedings Papers

Paper presented at the 2017 SEG International Exposition and Annual Meeting, September 24–29, 2017
Paper Number: SEG-2017-17657612
..., as in the Marmousi model, the relation between the transmission and detection angles (showing up in shot-record spectra) is not straightforward: angles at which source energy is emitted may completely change during propagation. Energy emitted at a certain angle may arrive at any other angle! Also, if no en- ergy...
Proceedings Papers

Paper presented at the Offshore Technology Conference, May 3–6, 2010
Paper Number: OTC-20453-MS
... are the Helmholtz free energy densities of homogeneous bulk phases and the influence parameters of inhomogeneous interface. The bulk phase properties are calculated by the Peng-Robinson Equation of State. The pure component influence parameters are obtained from a correlation based on pure component experimental...
Proceedings Papers

Paper presented at the 47th U.S. Rock Mechanics/Geomechanics Symposium, June 23–26, 2013
Paper Number: ARMA-2013-145
... of Equations (5 The outcome of the homogenization procedure is a mechanical Helmholtz free energy defined as follows: ( ) ( ) ( ) ( ) ( )0, , 1M e eij d d u d r ijX B J X B J X B = + (22) in which ( )0 dJ X and ( )u dJ X are two grading indices given by: ( ) ( )0 1 n m d dJ X X= (23a) ( ) ( )3...
Proceedings Papers

Paper presented at the 2017 SEG International Exposition and Annual Meeting, September 24–29, 2017
Paper Number: SEG-2017-17557895
... propagated incident wavefields. The same features holds in the frequency domain by solving for the scattered wavefield using the Helmholtz wave equation with the proper source function. This time the source is placed on the surface in the middle (yellow star in Figure 2a, and the background velocity is 2 km...
Proceedings Papers

Paper presented at the 1994 SEG Annual Meeting, October 23–28, 1994
Paper Number: SEG-1994-0028
... elastodynamic equation. The pressure field p in the fluid formation satisfies the Helmholtz acoustic equation with a second member given by the seismic source sollicitation. The displacement field in the casing satisfies the thick shell kinematic approximation and the equilibrium written in the weak sense...
Proceedings Papers

Paper presented at the 2018 SEG International Exposition and Annual Meeting, October 14–19, 2018
Paper Number: SEG-2018-2995146
... element method for solving the Helmholtz equation in two dimensions with minimal pollution : Computer Methods in Applied Mechanics and Engineering , 128 , 325 – 359 , 10.1016/0045-7825(95)00890-X . Cho , Y. , R. L. Gibson , and S. Fu , 2017 a , Frequency-domain reverse...
Proceedings Papers

Paper presented at the Offshore Technology Conference, May 4–7, 1981
Paper Number: OTC-4082-MS
... as described earlier. Figure 2 displays the standard deviation of error in interval velocity estimates, aVi ' as a *Examples cited later in this paper were computed using a second a~en expansion. In most practical cases, however, differences between the first order approximation of equation (2) and the more...
Proceedings Papers

Paper presented at the 2013 SEG Annual Meeting, September 22–27, 2013
Paper Number: SEG-2013-1299
... problem, the Helmholtz equation, can be solved with sophisticated, memory-intensive (particularly in the 3D case) preconditioners, it can alternatively be solved by computing the Fourier transform of a solution to the time- domain equation. Let cmax be the maximum wave velocity in the domain and let max...

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